===== Grand potential ===
==== Set ====
| @#55CCEE: context     | @#55CCEE: $ \Xi(\beta,\mu) $ ... grand canonical partition function |
| @#FFBB00: definiendum | @#FFBB00: $ \Omega(\beta,\mu):=-\frac{1}{\beta}\,\mathrm{ln}(\Xi(\beta,\mu)) $ |

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=== Discussion ===
This mirrors the [[classical microcanonical entropy]] and the [[classical canonical free energy]]. Also, think $\rho \sim {\mathrm e}^{-H/T}$ or $H \sim -T \ln(\rho)$.
=== Reference ===
Wikipedia [[http://en.wikipedia.org/wiki/Grand_potential|Grand potential]]

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=== Related ===
=== Context ===
[[Grand canonical partition function]]